Answers

1. answer to this question is {-2,-3}

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2. Answer:

   S:{−2, −3}

   Step-by-step explanation:

   Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 2p − 8 < 5p + 4 true.

   S:{−2, −3}

   S:{−3, −4}

   S:{−4, −5}

   S:{−2, −5}

   We will substitute in the integers and find the ones that make the equation true:

   2p − 8 < 5p + 4 when p = -2

   2(-2) − 8 < 5(-2) + 4

   -4 − 8 < -10 + 4

   -12 < -6 TRUE

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   2p − 8 < 5p + 4 when p = -3

   2(-3) − 8 < 5(-3) + 4

   -6 − 8 < -15 + 4

   -14 < -11 TRUE

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   2p − 8 < 5p + 4 when p = -4

   2(-4) − 8 < 5(-4) + 4

   -8 − 8 < -20 + 4

   -16 < -16 FALSE

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   2p − 8 < 5p + 4 when p = -5

   2(-5) − 8 < 5(-5) + 4

   -10 − 8 < -25 + 4

   -18 < -21 FALSE

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